why math related to science?explain please
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Dr. Tyson answered that math is the language of science. He said that if you want to understand the universe you need to understand it with math. He pointed out how amazing it is that even though math is something we invented in our head it applies across the universe and everywhere in science. He said that if you want to measure something, you need math. All so very true, well framed and easy to understand.
I could add that we simply did not have what we call science today until we started applying math to describe the physical world. Galileo Galilei is credited with this landmark innovation only a few hundred years ago back around 1590. One hundred years later Isaac Newton expressed the fundamental laws of mechanics in mathematical terms and these two innovations together are the foundations of science even today. Without it we would be riding around in horse carts similar to what the Romans used that were much inferior even to the carriages of the 1800s. Automobiles and airplanes simply could not have been invented yet. Nothing would be the same after the marriage of Math and Science.
Math enables us to measure things with numbers. It’s not easy, but we can guess how the numbers we get from the measurements we make can be reproduced from some mathematical principle or formula. This guess usually turns out wrong but we can know that it’s wrong because when we try to use the principal or formula the answer does not always agree with what we actually measure. When after every reasonable effort to check the formula or principal we find it always works, we tentatively accept it until we discover a case where it fails. It’s an iterative process and we are always trying to refine things. We call this mathematical modeling.
Once a phenomenon is modeled mathematically we can use the math to find the best solution for a particular problem. We can also perform “what if” analysis; that is we can use the math to see what happens when we change things. This eliminates most (but not all) of the time and effort of trial and error. That is why applying math to science has led to an explosion in technology. We can know a great deal (but not everything) about how things will work even before we try. We can even use this combination of math and science to study and make predictions about things we could never observe directly, like what happens inside stars or what happens when atomic particles come together. These techniques are called mathematical simulation.
While you might be able to do science without math, it would take tens of thousands of years to make significant progress. What I have outlined here focuses on how math is applied to physical science but it can also be applied everywhere: medicine, business, psychology, economics, sports training, computers, motion picture industry, the art of painting, etc. All of these fields and many more have been greatly advanced by applying math and the scientific method to them.
I could add that we simply did not have what we call science today until we started applying math to describe the physical world. Galileo Galilei is credited with this landmark innovation only a few hundred years ago back around 1590. One hundred years later Isaac Newton expressed the fundamental laws of mechanics in mathematical terms and these two innovations together are the foundations of science even today. Without it we would be riding around in horse carts similar to what the Romans used that were much inferior even to the carriages of the 1800s. Automobiles and airplanes simply could not have been invented yet. Nothing would be the same after the marriage of Math and Science.
Math enables us to measure things with numbers. It’s not easy, but we can guess how the numbers we get from the measurements we make can be reproduced from some mathematical principle or formula. This guess usually turns out wrong but we can know that it’s wrong because when we try to use the principal or formula the answer does not always agree with what we actually measure. When after every reasonable effort to check the formula or principal we find it always works, we tentatively accept it until we discover a case where it fails. It’s an iterative process and we are always trying to refine things. We call this mathematical modeling.
Once a phenomenon is modeled mathematically we can use the math to find the best solution for a particular problem. We can also perform “what if” analysis; that is we can use the math to see what happens when we change things. This eliminates most (but not all) of the time and effort of trial and error. That is why applying math to science has led to an explosion in technology. We can know a great deal (but not everything) about how things will work even before we try. We can even use this combination of math and science to study and make predictions about things we could never observe directly, like what happens inside stars or what happens when atomic particles come together. These techniques are called mathematical simulation.
While you might be able to do science without math, it would take tens of thousands of years to make significant progress. What I have outlined here focuses on how math is applied to physical science but it can also be applied everywhere: medicine, business, psychology, economics, sports training, computers, motion picture industry, the art of painting, etc. All of these fields and many more have been greatly advanced by applying math and the scientific method to them.
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